| Base | Representation |
|---|---|
| bin | 100101101000011100000101… |
| … | …0001110001101101100111100 |
| 3 | 1121102000120012002020122001200 |
| 4 | 1023100320022032031230330 |
| 5 | 321341310220024013040 |
| 6 | 3132001224452335500 |
| 7 | 126502631114442051 |
| oct | 11320701216155474 |
| 9 | 1542016162218050 |
| 10 | 331013301001020 |
| 11 | 9651aa52a093a0 |
| 12 | 31160718914590 |
| 13 | 1129156066cbb1 |
| 14 | 5ba51b4949028 |
| 15 | 284063795b630 |
| hex | 12d0e0a38db3c |
331013301001020 has 288 divisors, whose sum is σ = 1125634119966720. Its totient is φ = 78029869294080.
The previous prime is 331013301001013. The next prime is 331013301001043. The reversal of 331013301001020 is 20100103310133.
It is a happy number.
331013301001020 is a `hidden beast` number, since 3 + 310 + 1 + 330 + 1 + 0 + 0 + 1 + 0 + 20 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 331013301000984 and 331013301001002.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120472891 + ... + 123189869.
It is an arithmetic number, because the mean of its divisors is an integer number (3908451805440).
Almost surely, 2331013301001020 is an apocalyptic number.
331013301001020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 331013301001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562817059983360).
331013301001020 is an abundant number, since it is smaller than the sum of its proper divisors (794620818965700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
331013301001020 is a wasteful number, since it uses less digits than its factorization.
331013301001020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2718705 (or 2718700 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 331013301001020 its reverse (20100103310133), we get a palindrome (351113404311153).
The spelling of 331013301001020 in words is "three hundred thirty-one trillion, thirteen billion, three hundred one million, one thousand, twenty".
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